Contents

Mathematical Notes


Vol. 117, No. 5-6, 2025


Personalia

Andrei Andreevich Shkalikov

The Editorial Board p. 685  abstract


Research Articles

Some Structures on Polarized Poisson Manifolds

S. El Amine, and I. Benali p. 687  abstract

On One Class of Regular \(\lambda\)-Truncations and Its Applications to Inverse Functions

A. V. Arutyunov, and S. E. Zhukovskiy p. 693  abstract

Poisson Approximation to the Distributions of \(\chi^2\)-Statistics

I. S. Borisov, and M. J. Jetpisbaev p. 707  abstract

On Observers Design for Bilinear Control Systems in Hilbert Spaces

H. Damak, F. Badri, and M. A. Hammami p. 714  abstract

Sufficient Conditions for \(L\)-Leaf-Connected Graphs in Terms of the Inverse Index, the Reciprocal Product-Degree Distance, and the Multiplicative Version of the First Zagreb Index

Z. Zhang, G. Su, J. Du, X. Qin, W. Guo, and L. Song p. 727  abstract

Dirichlet-Type Problem for an Even-Order Degenerate Equation with Gerasimov–Caputo Fractional Derivative

B. I. Jamalov, and B. Yu. Irgashev p. 745  abstract

A Note on Matrix Volume Preservers

Z. Zhou p. 756  abstract

Efficient Search for a Minimum Tree in a Space with the \(l_1\)-Norm

K. V. Kaymakov, and D. S. Malyshev p. 762  abstract

Around Zaremba’s Conjecture

I. D. Kan p. 769  abstract

Contact Germs and Their Application to Partial Differential Equations

O. V. Kaptsov p. 775  abstract

Hardy’s Constants-Functionals in Inequalities with Additional Summands

R. V. Makarov, and R. G. Nasibullin p. 786  abstract

Mixed Problem for a Nonlinear Schrödinger Equation of Negative Order in the Class of Periodic Infinite-Gap Functions

Kh. N. Normurodov, and A. B. Khasanov p. 805  abstract

Differentiating a Linear Recursive Sequence

D. Papp, and K. C. Ágoston p. 821  abstract

Short Single-Fault Tests for Circuits in the Zhegalkin Basis with Arbitrary Stuck-At Faults of Gates

K. A. Popkov p. 826  abstract

Free Universal Algebras with Separately Continuous Operations

A. A. Solonkov p. 837  abstract

Controllability of Nonstationary Discrete Descriptor Systems under Conditions of Invertibility of a Transformation to a Structural Form

A. A. Shcheglova p. 850  abstract


Short Communications

Optimal Sampling Recovery and \(\varepsilon\)-Entropy of Lizorkin–Triebel Classes \(F^s_{\infty\,q}(\mathbb T^m)\) in \(L_r(\mathbb T^m)\)

D. B. Bazarkhanov, and Sh. A. Balgimbayeva p. 868  abstract

On Universal Double Fourier Series

M. G. Grigoryan, and A. A. Sargsyan p. 874  abstract

On the Structure of Low-Rank Matrices Approximating the Identity Matrix

Yu. V. Malykhin p. 880  abstract

On the Last Entry in Gauss’ Mathematical Diary

A. V. Ustinov p. 885  abstract


Research Articles

Best Approximation of the Differentiation Operator in Spaces of Functions Analytic in a Strip

O. V. Akopyan, and R. R. Akopyan p. 893  abstract

Support Condition of Strong Convexity and the Convergence of the Conditional Gradient Method

M. V. Balashov p. 909  abstract

Contractibility of Sparse Clouds

S. A. Bogatyi p. 922  abstract

Weakly Einstein Trans-Sasakian \(3\)-Manifolds

W. Wang p. 931  abstract

Inductivity of the Lattice of \(\sigma\)-Local Fitting Classes

N. N. Vorob’ev, and I. I. Staselka p. 939  abstract

Classification of Nonsingular \(4\)-Flows without Heteroclinic Intersections

V. D. Galkin, and O. V. Pochinka p. 950  abstract

Moderate Deviations Principle for Products of Independent Partial Sums of Independent Random Variables

E. V. Efremov, and A. V. Logachev p. 967  abstract

Existence of Positive Solutions for a Class of Berger’s Equations

T. Zhang, and X. Tong p. 987  abstract

\(\mathcal{P}\)-Canonical Form of the Drazin Inverse of Matrices, the Matrix Logarithm, and the Principal Matrix Logarithm

S. Zriaa, and M. Mouçouf p. 998  abstract

On the Positive Definiteness of Functions of the Form \(h(\rho(x))+\beta\rho(x)h'(\rho(x))\)

V. P. Zastavnyi p. 1012  abstract

Calculation of the Asymptotics of the Solution of the Inhomogeneous Heat Equation by the Auxiliary Parameter Method

S. V. Zakharov p. 1023  abstract

Kolmogorov Widths of the Class \(W_1^1\)

Yu. V. Malykhin p. 1034  abstract

On Some Topological Invariants of Parikh Word Representable Graphs

G. Surya, and J. Baskar Babujee p. 1040  abstract

Series Expansions of Solutions of Differential-Difference Parabolic Equations

A. B. Muravnik, O. É. Yaremko, and N. N. Yaremko p. 1051  abstract

Optimal Recovery of Linear Operators on a Homogeneous Sobolev Space

E. O. Sivkova p. 1065  abstract

Analysis of Some Thermo-Poroelastic Problems with Microtemperatures

J. R. Fernández, and R. Quintanilla p. 1079  abstract


Short Communications

Kolmogorov Widths of an Intersection of Anisotropic Finite-Dimensional Balls in the Case of \(2\le q_j<\infty\)

A. A. Vasil’eva p. 1090  abstract